0.00/0.03	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command    : twee %s --tstp --casc --quiet --conditional-encoding if --smaller --drop-non-horn
0.03/0.23	% Computer   : n009.star.cs.uiowa.edu
0.03/0.23	% Model      : x86_64 x86_64
0.03/0.23	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.03/0.23	% Memory     : 32218.625MB
0.03/0.23	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.03/0.23	% CPULimit   : 300
0.03/0.23	% DateTime   : Sat Jul 14 04:56:24 CDT 2018
0.03/0.23	% CPUTime    : 
3.72/3.91	% SZS status Theorem
3.72/3.91	
3.72/3.91	% SZS output start Proof
3.72/3.91	Take the following subset of the input axioms:
4.13/4.34	  fof(goals, conjecture, ~?[X167]: occurrence_of(X167, tptp0)).
4.13/4.34	  fof(sos, axiom,
4.13/4.34	      ![X0, X1]:
4.13/4.34	        ((activity(X0) & activity_occurrence(X1))
4.13/4.34	           <= occurrence_of(X1, X0))).
4.13/4.34	  fof(sos_01, axiom,
4.13/4.34	      ![X2]:
4.13/4.34	        (activity_occurrence(X2)
4.13/4.34	           => ?[X3]: (activity(X3) & occurrence_of(X2, X3)))).
4.13/4.34	  fof(sos_02, axiom,
4.13/4.34	      ![X4, X5, X6]:
4.13/4.34	        ((occurrence_of(X4, X5) & occurrence_of(X4, X6)) => X5=X6)).
4.13/4.34	  fof(sos_22, axiom,
4.13/4.34	      ![X60, X61, X62]:
4.13/4.34	        ((~?[X63]:
4.13/4.34	             (min_precedes(X63, X61, X62) & min_precedes(X60, X63, X62))
4.13/4.34	            & min_precedes(X60, X61, X62))
4.13/4.34	           <=> next_subocc(X60, X61, X62))).
4.13/4.34	  fof(sos_25, axiom,
4.13/4.34	      ![X69, X70, X71]:
4.13/4.34	        (min_precedes(X70, X71, X69)
4.13/4.34	           => ?[X72]:
4.13/4.34	                (subactivity_occurrence(X70, X72)
4.13/4.34	                   & (subactivity_occurrence(X71, X72) & occurrence_of(X72, X69))))).
4.13/4.34	  fof(sos_33, axiom,
4.13/4.34	      ![X99, X100]:
4.13/4.34	        (root_occ(X99, X100)
4.13/4.34	           <=> ?[X101]:
4.13/4.34	                 (occurrence_of(X100, X101)
4.13/4.34	                    & (subactivity_occurrence(X99, X100) & root(X99, X101))))).
4.13/4.34	  fof(sos_34, axiom,
4.13/4.34	      ![X102, X103]:
4.13/4.34	        (leaf_occ(X102, X103)
4.13/4.34	           <=> ?[X104]:
4.13/4.34	                 (subactivity_occurrence(X102, X103)
4.13/4.34	                    & (leaf(X102, X104) & occurrence_of(X103, X104))))).
4.13/4.34	  fof(sos_35, axiom,
4.13/4.34	      ![X108, X105, X106, X107]:
4.13/4.34	        ((occurrence_of(X107, X108)
4.13/4.34	            & (root_occ(X106, X107) & root_occ(X105, X107)))
4.13/4.34	           => X106=X105)).
4.13/4.34	  fof(sos_39, axiom,
4.13/4.34	      ![X121, X122, X123, X124, X125]:
4.13/4.34	        (X122=X123
4.13/4.34	           <= (next_subocc(X121, X122, X124)
4.13/4.34	                 & (subactivity_occurrence(X122, X125)
4.13/4.34	                      & (subactivity_occurrence(X123, X125)
4.13/4.34	                           & (occurrence_of(X125, X124) & next_subocc(X121, X123, X124))))))).
4.13/4.34	  fof(sos_49, axiom,
4.13/4.34	      ![X161]:
4.13/4.34	        (occurrence_of(X161, tptp0)
4.13/4.34	           => ?[X162, X163]:
4.13/4.34	                (root_occ(X162, X161)
4.13/4.34	                   & (occurrence_of(X163, tptp3)
4.13/4.34	                        & (leaf_occ(X163, X161)
4.13/4.34	                             & (next_subocc(X162, X163, tptp0)
4.13/4.34	                                  & occurrence_of(X162, tptp4))))))).
4.13/4.34	  fof(sos_59, axiom, tptp3!=tptp1).
4.13/4.34	  fof(sos_62, axiom,
4.13/4.34	      ![X164, X165]:
4.13/4.34	        ((root_occ(X164, X165) & occurrence_of(X165, tptp0))
4.13/4.34	           => ?[X166]:
4.13/4.34	                (next_subocc(X164, X166, tptp0) & occurrence_of(X166, tptp1)))).
4.13/4.34	
4.13/4.34	Now clausify the problem and encode Horn clauses using encoding 3 of
4.13/4.34	http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
4.13/4.34	We repeatedly replace C & s=t => u=v by the two clauses:
4.13/4.34	  $$fresh(y, y, x1...xn) = u
4.13/4.34	  C => $$fresh(s, t, x1...xn) = v
4.13/4.34	where $$fresh is a fresh function symbol and x1..xn are the free
4.13/4.34	variables of u and v.
4.13/4.34	A predicate p(X) is encoded as p(X)=$$true (this is sound, because the
4.13/4.34	input problem has no model of domain size 1).
4.13/4.34	
4.13/4.34	The encoding turns the above axioms into the following unit equations and goals:
4.13/4.34	
4.13/4.34	Axiom 1 (sos): $$fresh71(X, X, Y) = $$true2.
4.13/4.34	Axiom 2 (sos_01): $$fresh70(X, X, Y) = $$true2.
4.13/4.34	Axiom 4 (sos_02): $$fresh3(X, X, Y, Z, W) = Z.
4.13/4.34	Axiom 5 (sos_02): $$fresh2(X, X, Y, Z) = Z.
4.13/4.34	Axiom 39 (sos_22_3): $$fresh39(X, X, Y, Z, W) = $$true2.
4.13/4.34	Axiom 48 (sos_25): $$fresh32(X, X, Y, Z, W) = $$true2.
4.13/4.34	Axiom 49 (sos_25_1): $$fresh31(X, X, Y, Z, W) = $$true2.
4.13/4.34	Axiom 50 (sos_25_2): $$fresh30(X, X, Y, Z, W) = $$true2.
4.13/4.34	Axiom 61 (sos_33_1): $$fresh24(X, X, Y, Z) = $$true2.
4.13/4.34	Axiom 62 (sos_33_2): $$fresh23(X, X, Y, Z) = $$true2.
4.13/4.34	Axiom 63 (sos_33_3): $$fresh22(X, X, Y, Z) = root_occ(Y, Z).
4.13/4.34	Axiom 64 (sos_33_3): $$fresh85(X, X, Y, Z) = $$true2.
4.13/4.34	Axiom 65 (sos_33_3): $$fresh86(X, X, Y, Z, W) = $$fresh85(subactivity_occurrence(Y, Z), $$true2, Y, Z).
4.13/4.34	Axiom 69 (sos_34_1): $$fresh20(X, X, Y, Z) = $$true2.
4.13/4.34	Axiom 72 (sos_35): $$fresh74(X, X, Y, Z) = Y.
4.13/4.34	Axiom 73 (sos_35): $$fresh(X, X, Y, Z, W) = Z.
4.13/4.34	Axiom 74 (sos_35): $$fresh75(X, X, Y, Z, W) = $$fresh74(root_occ(Y, W), $$true2, Y, Z).
4.13/4.34	Axiom 75 (sos_39): $$fresh77(X, X, Y, Z, W) = Y.
4.13/4.34	Axiom 76 (sos_39): $$fresh79(X, X, Y, Z) = Z.
4.13/4.34	Axiom 77 (sos_39): $$fresh80(X, X, Y, Z, W) = $$fresh79(subactivity_occurrence(Y, W), $$true2, Y, Z).
4.13/4.34	Axiom 78 (sos_39): $$fresh76(X, X, Y, Z, W, V, U) = $$fresh80(occurrence_of(U, V), $$true2, Z, W, U).
4.13/4.34	Axiom 79 (sos_39): $$fresh78(X, X, Y, Z, W, V) = $$fresh77(subactivity_occurrence(Z, V), $$true2, Y, Z, V).
4.13/4.34	Axiom 85 (sos_49): $$fresh14(X, X, Y) = $$true2.
4.13/4.34	Axiom 86 (sos_49_1): $$fresh13(X, X, Y) = $$true2.
4.13/4.34	Axiom 88 (sos_49_3): $$fresh11(X, X, Y) = $$true2.
4.13/4.34	Axiom 89 (sos_49_4): $$fresh10(X, X, Y) = $$true2.
4.13/4.34	Axiom 90 (sos_62): $$fresh9(X, X, Y, Z) = occurrence_of(sK14_sos_62_X166(Y), tptp1).
4.13/4.34	Axiom 91 (sos_62): $$fresh8(X, X, Y) = $$true2.
4.13/4.34	Axiom 92 (sos_62_1): $$fresh7(X, X, Y, Z) = next_subocc(Y, sK14_sos_62_X166(Y), tptp0).
4.13/4.34	Axiom 93 (sos_62_1): $$fresh6(X, X, Y) = $$true2.
4.13/4.34	Axiom 94 (sos_62_1): $$fresh7(occurrence_of(X, tptp0), $$true2, Y, X) = $$fresh6(root_occ(Y, X), $$true2, Y).
4.13/4.34	Axiom 95 (sos_62): $$fresh9(occurrence_of(X, tptp0), $$true2, Y, X) = $$fresh8(root_occ(Y, X), $$true2, Y).
4.13/4.34	Axiom 100 (sos_01): $$fresh70(activity_occurrence(X), $$true2, X) = occurrence_of(X, sK12_sos_01_X3(X)).
4.13/4.34	Axiom 105 (sos_34_1): $$fresh20(leaf_occ(X, Y), $$true2, X, Y) = subactivity_occurrence(X, Y).
4.13/4.34	Axiom 116 (sos_33_3): $$fresh86(root(X, Y), $$true2, X, Z, Y) = $$fresh22(occurrence_of(Z, Y), $$true2, X, Z).
4.13/4.34	Axiom 117 (sos_33_2): $$fresh23(root_occ(X, Y), $$true2, X, Y) = root(X, sK6_sos_33_X101(X, Y)).
4.13/4.34	Axiom 118 (sos_33_1): $$fresh24(root_occ(X, Y), $$true2, X, Y) = occurrence_of(Y, sK6_sos_33_X101(X, Y)).
4.13/4.34	Axiom 129 (sos_02): $$fresh3(occurrence_of(X, Y), $$true2, X, Z, Y) = $$fresh2(occurrence_of(X, Z), $$true2, Z, Y).
4.13/4.34	Axiom 135 (sos_39): $$fresh76(next_subocc(X, Y, Z), $$true2, X, W, Y, Z, V) = $$fresh78(next_subocc(X, W, Z), $$true2, W, Y, Z, V).
4.13/4.34	Axiom 139 (sos_35): $$fresh75(occurrence_of(X, Y), $$true2, Z, W, X) = $$fresh(root_occ(W, X), $$true2, Z, W, X).
4.13/4.34	Axiom 143 (sos_22_3): $$fresh39(next_subocc(X, Y, Z), $$true2, X, Y, Z) = min_precedes(X, Y, Z).
4.13/4.34	Axiom 147 (sos_25_2): $$fresh30(min_precedes(X, Y, Z), $$true2, Z, X, Y) = occurrence_of(sK3_sos_25_X72(Z, X, Y), Z).
4.13/4.34	Axiom 148 (sos_25_1): $$fresh31(min_precedes(X, Y, Z), $$true2, Z, X, Y) = subactivity_occurrence(Y, sK3_sos_25_X72(Z, X, Y)).
4.13/4.34	Axiom 149 (sos_25): $$fresh32(min_precedes(X, Y, Z), $$true2, Z, X, Y) = subactivity_occurrence(X, sK3_sos_25_X72(Z, X, Y)).
4.13/4.34	Axiom 154 (sos): $$fresh71(occurrence_of(X, Y), $$true2, X) = activity_occurrence(X).
4.13/4.34	Axiom 155 (sos_49_4): $$fresh10(occurrence_of(X, tptp0), $$true2, X) = leaf_occ(sK2_sos_49_X163(X), X).
4.13/4.34	Axiom 156 (sos_49_3): $$fresh11(occurrence_of(X, tptp0), $$true2, X) = next_subocc(sK1_sos_49_X162(X), sK2_sos_49_X163(X), tptp0).
4.13/4.34	Axiom 158 (sos_49_1): $$fresh13(occurrence_of(X, tptp0), $$true2, X) = occurrence_of(sK2_sos_49_X163(X), tptp3).
4.13/4.34	Axiom 159 (sos_49): $$fresh14(occurrence_of(X, tptp0), $$true2, X) = root_occ(sK1_sos_49_X162(X), X).
4.13/4.34	Axiom 160 (goals): occurrence_of(sK7_goals_X167, tptp0) = $$true2.
4.13/4.34	
4.13/4.34	Lemma 161: root_occ(sK1_sos_49_X162(sK7_goals_X167), sK7_goals_X167) = $$true2.
4.13/4.34	Proof:
4.13/4.34	  root_occ(sK1_sos_49_X162(sK7_goals_X167), sK7_goals_X167)
4.13/4.34	= { by axiom 159 (sos_49) }
4.13/4.34	  $$fresh14(occurrence_of(sK7_goals_X167, tptp0), $$true2, sK7_goals_X167)
4.13/4.34	= { by axiom 160 (goals) }
4.13/4.34	  $$fresh14($$true2, $$true2, sK7_goals_X167)
4.13/4.34	= { by axiom 85 (sos_49) }
4.13/4.34	  $$true2
4.13/4.34	
4.13/4.34	Lemma 162: occurrence_of(sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp1) = $$true2.
4.13/4.34	Proof:
4.13/4.34	  occurrence_of(sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp1)
4.13/4.34	= { by axiom 90 (sos_62) }
4.13/4.34	  $$fresh9($$true2, $$true2, sK1_sos_49_X162(sK7_goals_X167), sK7_goals_X167)
4.13/4.34	= { by axiom 160 (goals) }
4.13/4.34	  $$fresh9(occurrence_of(sK7_goals_X167, tptp0), $$true2, sK1_sos_49_X162(sK7_goals_X167), sK7_goals_X167)
4.13/4.34	= { by axiom 95 (sos_62) }
4.13/4.34	  $$fresh8(root_occ(sK1_sos_49_X162(sK7_goals_X167), sK7_goals_X167), $$true2, sK1_sos_49_X162(sK7_goals_X167))
4.13/4.34	= { by lemma 161 }
4.13/4.34	  $$fresh8($$true2, $$true2, sK1_sos_49_X162(sK7_goals_X167))
4.13/4.34	= { by axiom 91 (sos_62) }
4.13/4.34	  $$true2
4.13/4.34	
4.13/4.34	Lemma 163: $$fresh7(?, ?, sK1_sos_49_X162(sK7_goals_X167), ?) = $$true2.
4.13/4.34	Proof:
4.13/4.34	  $$fresh7(?, ?, sK1_sos_49_X162(sK7_goals_X167), ?)
4.13/4.34	= { by axiom 92 (sos_62_1) }
4.13/4.34	  next_subocc(sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0)
4.13/4.34	= { by axiom 92 (sos_62_1) }
4.13/4.34	  $$fresh7($$true2, $$true2, sK1_sos_49_X162(sK7_goals_X167), sK7_goals_X167)
4.13/4.34	= { by axiom 160 (goals) }
4.13/4.34	  $$fresh7(occurrence_of(sK7_goals_X167, tptp0), $$true2, sK1_sos_49_X162(sK7_goals_X167), sK7_goals_X167)
4.13/4.34	= { by axiom 94 (sos_62_1) }
4.13/4.34	  $$fresh6(root_occ(sK1_sos_49_X162(sK7_goals_X167), sK7_goals_X167), $$true2, sK1_sos_49_X162(sK7_goals_X167))
4.13/4.34	= { by lemma 161 }
4.13/4.34	  $$fresh6($$true2, $$true2, sK1_sos_49_X162(sK7_goals_X167))
4.13/4.34	= { by axiom 93 (sos_62_1) }
4.13/4.34	  $$true2
4.13/4.34	
4.13/4.34	Lemma 164: min_precedes(sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0) = $$true2.
4.13/4.34	Proof:
4.13/4.34	  min_precedes(sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0)
4.13/4.34	= { by axiom 143 (sos_22_3) }
4.13/4.34	  $$fresh39(next_subocc(sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0), $$true2, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0)
4.13/4.34	= { by axiom 92 (sos_62_1) }
4.13/4.34	  $$fresh39($$fresh7(?, ?, sK1_sos_49_X162(sK7_goals_X167), ?), $$true2, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0)
4.13/4.34	= { by lemma 163 }
4.13/4.34	  $$fresh39($$true2, $$true2, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0)
4.13/4.34	= { by axiom 39 (sos_22_3) }
4.13/4.34	  $$true2
4.13/4.34	
4.13/4.34	Lemma 165: occurrence_of(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp0) = $$true2.
4.13/4.34	Proof:
4.13/4.34	  occurrence_of(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp0)
4.13/4.34	= { by axiom 147 (sos_25_2) }
4.13/4.34	  $$fresh30(min_precedes(sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0), $$true2, tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))
4.13/4.34	= { by lemma 164 }
4.13/4.34	  $$fresh30($$true2, $$true2, tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))
4.13/4.34	= { by axiom 50 (sos_25_2) }
4.13/4.34	  $$true2
4.13/4.34	
4.13/4.34	Lemma 166: occurrence_of(sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp3) = $$true2.
4.13/4.34	Proof:
4.13/4.34	  occurrence_of(sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp3)
4.13/4.34	= { by axiom 158 (sos_49_1) }
4.13/4.34	  $$fresh13(occurrence_of(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp0), $$true2, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))))
4.13/4.34	= { by lemma 165 }
4.13/4.34	  $$fresh13($$true2, $$true2, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))))
4.13/4.34	= { by axiom 86 (sos_49_1) }
4.51/4.75	  $$true2
4.51/4.75	
4.51/4.75	Goal 1 (sos_59): tptp3 = tptp1.
4.51/4.75	Proof:
4.51/4.75	  tptp3
4.51/4.75	= { by axiom 5 (sos_02) }
4.51/4.75	  $$fresh2($$true2, $$true2, sK12_sos_01_X3(sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))))), tptp3)
4.51/4.75	= { by axiom 2 (sos_01) }
4.51/4.75	  $$fresh2($$fresh70($$true2, $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))))), $$true2, sK12_sos_01_X3(sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))))), tptp3)
4.51/4.75	= { by axiom 1 (sos) }
4.51/4.75	  $$fresh2($$fresh70($$fresh71($$true2, $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))))), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))))), $$true2, sK12_sos_01_X3(sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))))), tptp3)
4.51/4.75	= { by lemma 166 }
4.51/4.75	  $$fresh2($$fresh70($$fresh71(occurrence_of(sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp3), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))))), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))))), $$true2, sK12_sos_01_X3(sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))))), tptp3)
4.51/4.75	= { by axiom 154 (sos) }
4.51/4.75	  $$fresh2($$fresh70(activity_occurrence(sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))))), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))))), $$true2, sK12_sos_01_X3(sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))))), tptp3)
4.51/4.75	= { by axiom 100 (sos_01) }
4.51/4.75	  $$fresh2(occurrence_of(sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK12_sos_01_X3(sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))), $$true2, sK12_sos_01_X3(sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))))), tptp3)
4.51/4.75	= { by axiom 129 (sos_02) }
4.51/4.75	  $$fresh3(occurrence_of(sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp3), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK12_sos_01_X3(sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))))), tptp3)
4.51/4.75	= { by lemma 166 }
4.51/4.75	  $$fresh3($$true2, $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK12_sos_01_X3(sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))))), tptp3)
4.51/4.75	= { by axiom 4 (sos_02) }
4.51/4.75	  sK12_sos_01_X3(sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.75	= { by axiom 75 (sos_39) }
4.51/4.75	  sK12_sos_01_X3($$fresh77($$true2, $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.75	= { by axiom 49 (sos_25_1) }
4.51/4.75	  sK12_sos_01_X3($$fresh77($$fresh31($$true2, $$true2, tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.75	= { by lemma 164 }
4.51/4.75	  sK12_sos_01_X3($$fresh77($$fresh31(min_precedes(sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0), $$true2, tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.75	= { by axiom 148 (sos_25_1) }
4.51/4.75	  sK12_sos_01_X3($$fresh77(subactivity_occurrence(sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.75	= { by axiom 79 (sos_39) }
4.51/4.75	  sK12_sos_01_X3($$fresh78($$true2, $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.75	= { by axiom 88 (sos_49_3) }
4.51/4.75	  sK12_sos_01_X3($$fresh78($$fresh11($$true2, $$true2, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.75	= { by lemma 165 }
4.51/4.75	  sK12_sos_01_X3($$fresh78($$fresh11(occurrence_of(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp0), $$true2, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.75	= { by axiom 156 (sos_49_3) }
4.51/4.75	  sK12_sos_01_X3($$fresh78(next_subocc(sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.75	= { by axiom 72 (sos_35) }
4.51/4.75	  sK12_sos_01_X3($$fresh78(next_subocc($$fresh74($$true2, $$true2, sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK1_sos_49_X162(sK7_goals_X167)), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.75	= { by axiom 85 (sos_49) }
4.51/4.75	  sK12_sos_01_X3($$fresh78(next_subocc($$fresh74($$fresh14($$true2, $$true2, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), $$true2, sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK1_sos_49_X162(sK7_goals_X167)), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.75	= { by lemma 165 }
4.51/4.75	  sK12_sos_01_X3($$fresh78(next_subocc($$fresh74($$fresh14(occurrence_of(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp0), $$true2, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), $$true2, sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK1_sos_49_X162(sK7_goals_X167)), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by axiom 159 (sos_49) }
4.51/4.76	  sK12_sos_01_X3($$fresh78(next_subocc($$fresh74(root_occ(sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), $$true2, sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK1_sos_49_X162(sK7_goals_X167)), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by axiom 74 (sos_35) }
4.51/4.76	  sK12_sos_01_X3($$fresh78(next_subocc($$fresh75($$true2, $$true2, sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by lemma 165 }
4.51/4.76	  sK12_sos_01_X3($$fresh78(next_subocc($$fresh75(occurrence_of(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp0), $$true2, sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by axiom 139 (sos_35) }
4.51/4.76	  sK12_sos_01_X3($$fresh78(next_subocc($$fresh(root_occ(sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), $$true2, sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by axiom 63 (sos_33_3) }
4.51/4.76	  sK12_sos_01_X3($$fresh78(next_subocc($$fresh($$fresh22($$true2, $$true2, sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), $$true2, sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by lemma 165 }
4.51/4.76	  sK12_sos_01_X3($$fresh78(next_subocc($$fresh($$fresh22(occurrence_of(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp0), $$true2, sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), $$true2, sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by axiom 116 (sos_33_3) }
4.51/4.76	  sK12_sos_01_X3($$fresh78(next_subocc($$fresh($$fresh86(root(sK1_sos_49_X162(sK7_goals_X167), tptp0), $$true2, sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp0), $$true2, sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by axiom 5 (sos_02) }
4.51/4.76	  sK12_sos_01_X3($$fresh78(next_subocc($$fresh($$fresh86(root(sK1_sos_49_X162(sK7_goals_X167), $$fresh2($$true2, $$true2, sK6_sos_33_X101(sK1_sos_49_X162(sK7_goals_X167), sK7_goals_X167), tptp0)), $$true2, sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp0), $$true2, sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by axiom 61 (sos_33_1) }
4.51/4.76	  sK12_sos_01_X3($$fresh78(next_subocc($$fresh($$fresh86(root(sK1_sos_49_X162(sK7_goals_X167), $$fresh2($$fresh24($$true2, $$true2, sK1_sos_49_X162(sK7_goals_X167), sK7_goals_X167), $$true2, sK6_sos_33_X101(sK1_sos_49_X162(sK7_goals_X167), sK7_goals_X167), tptp0)), $$true2, sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp0), $$true2, sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by lemma 161 }
4.51/4.76	  sK12_sos_01_X3($$fresh78(next_subocc($$fresh($$fresh86(root(sK1_sos_49_X162(sK7_goals_X167), $$fresh2($$fresh24(root_occ(sK1_sos_49_X162(sK7_goals_X167), sK7_goals_X167), $$true2, sK1_sos_49_X162(sK7_goals_X167), sK7_goals_X167), $$true2, sK6_sos_33_X101(sK1_sos_49_X162(sK7_goals_X167), sK7_goals_X167), tptp0)), $$true2, sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp0), $$true2, sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by axiom 118 (sos_33_1) }
4.51/4.76	  sK12_sos_01_X3($$fresh78(next_subocc($$fresh($$fresh86(root(sK1_sos_49_X162(sK7_goals_X167), $$fresh2(occurrence_of(sK7_goals_X167, sK6_sos_33_X101(sK1_sos_49_X162(sK7_goals_X167), sK7_goals_X167)), $$true2, sK6_sos_33_X101(sK1_sos_49_X162(sK7_goals_X167), sK7_goals_X167), tptp0)), $$true2, sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp0), $$true2, sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by axiom 129 (sos_02) }
4.51/4.76	  sK12_sos_01_X3($$fresh78(next_subocc($$fresh($$fresh86(root(sK1_sos_49_X162(sK7_goals_X167), $$fresh3(occurrence_of(sK7_goals_X167, tptp0), $$true2, sK7_goals_X167, sK6_sos_33_X101(sK1_sos_49_X162(sK7_goals_X167), sK7_goals_X167), tptp0)), $$true2, sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp0), $$true2, sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by axiom 160 (goals) }
4.51/4.76	  sK12_sos_01_X3($$fresh78(next_subocc($$fresh($$fresh86(root(sK1_sos_49_X162(sK7_goals_X167), $$fresh3($$true2, $$true2, sK7_goals_X167, sK6_sos_33_X101(sK1_sos_49_X162(sK7_goals_X167), sK7_goals_X167), tptp0)), $$true2, sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp0), $$true2, sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by axiom 4 (sos_02) }
4.51/4.76	  sK12_sos_01_X3($$fresh78(next_subocc($$fresh($$fresh86(root(sK1_sos_49_X162(sK7_goals_X167), sK6_sos_33_X101(sK1_sos_49_X162(sK7_goals_X167), sK7_goals_X167)), $$true2, sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp0), $$true2, sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by axiom 117 (sos_33_2) }
4.51/4.76	  sK12_sos_01_X3($$fresh78(next_subocc($$fresh($$fresh86($$fresh23(root_occ(sK1_sos_49_X162(sK7_goals_X167), sK7_goals_X167), $$true2, sK1_sos_49_X162(sK7_goals_X167), sK7_goals_X167), $$true2, sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp0), $$true2, sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by lemma 161 }
4.51/4.76	  sK12_sos_01_X3($$fresh78(next_subocc($$fresh($$fresh86($$fresh23($$true2, $$true2, sK1_sos_49_X162(sK7_goals_X167), sK7_goals_X167), $$true2, sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp0), $$true2, sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by axiom 62 (sos_33_2) }
4.51/4.76	  sK12_sos_01_X3($$fresh78(next_subocc($$fresh($$fresh86($$true2, $$true2, sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp0), $$true2, sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by axiom 65 (sos_33_3) }
4.51/4.76	  sK12_sos_01_X3($$fresh78(next_subocc($$fresh($$fresh85(subactivity_occurrence(sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), $$true2, sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), $$true2, sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by axiom 149 (sos_25) }
4.51/4.76	  sK12_sos_01_X3($$fresh78(next_subocc($$fresh($$fresh85($$fresh32(min_precedes(sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0), $$true2, tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), $$true2, sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), $$true2, sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by lemma 164 }
4.51/4.76	  sK12_sos_01_X3($$fresh78(next_subocc($$fresh($$fresh85($$fresh32($$true2, $$true2, tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), $$true2, sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), $$true2, sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by axiom 48 (sos_25) }
4.51/4.76	  sK12_sos_01_X3($$fresh78(next_subocc($$fresh($$fresh85($$true2, $$true2, sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), $$true2, sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by axiom 64 (sos_33_3) }
4.51/4.76	  sK12_sos_01_X3($$fresh78(next_subocc($$fresh($$true2, $$true2, sK1_sos_49_X162(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK1_sos_49_X162(sK7_goals_X167), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by axiom 73 (sos_35) }
4.51/4.76	  sK12_sos_01_X3($$fresh78(next_subocc(sK1_sos_49_X162(sK7_goals_X167), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by axiom 135 (sos_39) }
4.51/4.76	  sK12_sos_01_X3($$fresh76(next_subocc(sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0), $$true2, sK1_sos_49_X162(sK7_goals_X167), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by axiom 92 (sos_62_1) }
4.51/4.76	  sK12_sos_01_X3($$fresh76($$fresh7(?, ?, sK1_sos_49_X162(sK7_goals_X167), ?), $$true2, sK1_sos_49_X162(sK7_goals_X167), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by lemma 163 }
4.51/4.76	  sK12_sos_01_X3($$fresh76($$true2, $$true2, sK1_sos_49_X162(sK7_goals_X167), sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp0, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by axiom 78 (sos_39) }
4.51/4.76	  sK12_sos_01_X3($$fresh80(occurrence_of(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp0), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by lemma 165 }
4.51/4.76	  sK12_sos_01_X3($$fresh80($$true2, $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))))
4.51/4.76	= { by axiom 77 (sos_39) }
4.51/4.76	  sK12_sos_01_X3($$fresh79(subactivity_occurrence(sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))))
4.51/4.76	= { by axiom 105 (sos_34_1) }
4.51/4.76	  sK12_sos_01_X3($$fresh79($$fresh20(leaf_occ(sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))))
4.51/4.76	= { by axiom 155 (sos_49_4) }
4.51/4.76	  sK12_sos_01_X3($$fresh79($$fresh20($$fresh10(occurrence_of(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp0), $$true2, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))))
4.51/4.76	= { by lemma 165 }
4.51/4.76	  sK12_sos_01_X3($$fresh79($$fresh20($$fresh10($$true2, $$true2, sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))))
4.51/4.76	= { by axiom 89 (sos_49_4) }
4.51/4.76	  sK12_sos_01_X3($$fresh79($$fresh20($$true2, $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))))
4.51/4.76	= { by axiom 69 (sos_34_1) }
4.51/4.76	  sK12_sos_01_X3($$fresh79($$true2, $$true2, sK2_sos_49_X163(sK3_sos_25_X72(tptp0, sK1_sos_49_X162(sK7_goals_X167), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))))
4.51/4.76	= { by axiom 76 (sos_39) }
4.51/4.76	  sK12_sos_01_X3(sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))
4.51/4.76	= { by axiom 4 (sos_02) }
4.51/4.76	  $$fresh3($$true2, $$true2, sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), sK12_sos_01_X3(sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp1)
4.51/4.76	= { by lemma 162 }
4.51/4.76	  $$fresh3(occurrence_of(sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp1), $$true2, sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), sK12_sos_01_X3(sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp1)
4.51/4.76	= { by axiom 129 (sos_02) }
4.51/4.76	  $$fresh2(occurrence_of(sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), sK12_sos_01_X3(sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)))), $$true2, sK12_sos_01_X3(sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp1)
4.51/4.76	= { by axiom 100 (sos_01) }
4.51/4.76	  $$fresh2($$fresh70(activity_occurrence(sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), $$true2, sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), $$true2, sK12_sos_01_X3(sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp1)
4.51/4.76	= { by axiom 154 (sos) }
4.51/4.76	  $$fresh2($$fresh70($$fresh71(occurrence_of(sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167)), tptp1), $$true2, sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), $$true2, sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), $$true2, sK12_sos_01_X3(sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp1)
4.51/4.76	= { by lemma 162 }
4.51/4.76	  $$fresh2($$fresh70($$fresh71($$true2, $$true2, sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), $$true2, sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), $$true2, sK12_sos_01_X3(sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp1)
4.51/4.76	= { by axiom 1 (sos) }
4.51/4.76	  $$fresh2($$fresh70($$true2, $$true2, sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), $$true2, sK12_sos_01_X3(sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp1)
4.51/4.76	= { by axiom 2 (sos_01) }
4.51/4.76	  $$fresh2($$true2, $$true2, sK12_sos_01_X3(sK14_sos_62_X166(sK1_sos_49_X162(sK7_goals_X167))), tptp1)
4.51/4.76	= { by axiom 5 (sos_02) }
4.51/4.76	  tptp1
4.51/4.76	% SZS output end Proof
4.51/4.76	
4.51/4.76	RESULT: Theorem (the conjecture is true).
4.51/4.77	EOF